Raymond B. answered • 08/03/21
Tutor
5
(2)
Math, microeconomics or criminal justice
.6q +100 = -q^2/2000 - .7q + 1000
add .7q to both sides, subtract 1000 from both sides
add q^2/2000 to both sides
q^2/2000 +.13q -900 = 0
multiply by 2000
q^2 + 260q - 1,800,000 = 0
use the quadratic formula
q = -260/2 + (1/2)sqr(67,600+7,200,000)
= -130 + .5sqr7267,000 = -130 + 2696/2
= -130 + 1348 = 1218 rounded off to nearest integer
equilibrium output = q = about 1218
q is commonly used for quantity produced or sold
